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Finding the Fourth Proportional to 11,509.16, 17,162.42 and 10,600.34

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Solution

The fourth proportional to 11,509.16, 17,162.42 and 10,600.34 is: 15,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.16 : 17,162.42 = 10,600.34 : x
  2. Step 2: Convert to fraction form
    11,509.16/17,162.42 = 10,600.34/x
  3. Step 3: Cross multiply
    11,509.16x = 17,162.42 × 10,600.34
  4. Step 4: Simplify right side
    11,509.16x = 181,927,348.41
  5. Step 5: Solve for x
    x = 181,927,348.41/11,509.16
  6. Step 6: Final answer
    x = 15,807.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.